3407564254140 has 288 divisors, whose sum is σ = 11269134676800. Its totient is φ = 831153222144.

The previous prime is 3407564254139. The next prime is 3407564254151. The reversal of 3407564254140 is 414524657043.

3407564254140 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 5 + 64 + 2 + 541 + 40 = 666.

It is a super-2 number, since 2×3407564254140² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83389954 + ... + 83430806.

It is an arithmetic number, because the mean of its divisors is an integer number (39128939850).

Almost surely, 2^{3407564254140} is an apocalyptic number.

3407564254140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407564254140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634567338400).

3407564254140 is an abundant number, since it is smaller than the sum of its proper divisors (7861570422660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3407564254140 is a wasteful number, since it uses less digits than its factorization.

3407564254140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40974 (or 40911 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 3407564254140 in words is "three trillion, four hundred seven billion, five hundred sixty-four million, two hundred fifty-four thousand, one hundred forty".